I'm by no means an expert, but if the car died in the sputtering manner you say, I'd suggest not worrying about the P0300 codes for the misfires, they look like they may have been collateral damage during the failure, which could have been some sort of fuel starvation.

Sometimes rich or lean errors mean a malfunctioning oxygen sensor, but because the engine actually died, I'd also bet it's safe to assume there was actually a bunch of unburned fuel getting through the system.